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Finding the Fourth Proportional to 257,801.40, 386,264.70 and 213,186.60

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Solution

The fourth proportional to 257,801.40, 386,264.70 and 213,186.60 is: 319,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.40 : 386,264.70 = 213,186.60 : x
  2. Step 2: Convert to fraction form
    257,801.40/386,264.70 = 213,186.60/x
  3. Step 3: Cross multiply
    257,801.40x = 386,264.70 × 213,186.60
  4. Step 4: Simplify right side
    257,801.40x = 82,346,458,093.02
  5. Step 5: Solve for x
    x = 82,346,458,093.02/257,801.40
  6. Step 6: Final answer
    x = 319,418.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.